2) dy x+3y dx 2x

Q: 2. x COs2x dx w hat is the value of integral 3.

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Q: (x– x'ye" )dy – dx = 0

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Q: Find the general solution to dy/dx= 6-x^2/2y^3

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Q: Find the general solution for (y + 1) dx + (4x-y) dy 0 %3D

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Q: 1. S(7x³ + 4x²)dx e*dx 2. J itez* 1+e2x 3. S(V1 – cos x)dx

A: We will these indefinite integrals as

Q: Evaluate ∫ 2xex dx using integration by parts with u=2x and dv=ex dx. Give only the function as your…

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Q: y = [cosh(2x)]ot*( 1 cot-1 3 Vx

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Q: dx ylnx dy || y + 1 X 2

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Q: dy Determine the general solution of = 1+ 3y tanx. dx

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Q: 2 dx + ( 2x-y+3) dy = 0 ans. y + C = - In |2y-y+4|

A: See the details solution in below

Q: Find the particular solution for (2y3 – x³) dx + 3xy² dy = 0 when x = 1, y = 1

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Q: If y = (4x) sin ( 3z) then %3D dy dx (Be sure to express your answer in terms of x)

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Q: dy (=)y = x* sin x. dx

A: Linear differential equation

Q: 5 If y = dy then dx %3D x+1

A: Given that: y=xx+15

Q: Find dy dx dz 2 9=(z-3 Inax) a = constant

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Q: 6. General solution is y = x² In x + Ca² , EXERCISE 6. dy 2y = x? dx

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Q: Find dy. y= 2 In (3+x*) dy =|

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Q: (2х — Зу)dx + (2у — Зx)dy %3D 0

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Q: I. Solve for the General or Particula 1. dy dx = 3x+xy² y+x²y

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Q: 5. Find the particular solution (IVP) for the DE below: a) dx +2 =8x when x = 2, y = 6 b) 3y2 = 2x +…

A: Use variable separable method

Q: (a) dy Given 4 sin 3x + 2exy = (2x + y)³, find dx'

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Q: 5) SOLVE dy 2 y (1) == (ive) dx 2

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Q: 4. (x³ + 3x – 1) dx 2 5. 4x x2 6. SIy + 1) – (y? - 1)]dy

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Q: I. Find the general solution of the following: dy 2x 1.- dx y dy 2. xy dx 3. dy = (6e3x+ 1)dx

A: We have to find the general solution.     According to our guidelines we can do only one question so…

Q: Find dy/dx given that 3(x +y) = 100xy Solution:

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Q: Find dy/dx, if y=(x^2−2)^3 (2x+3)^4 dy/dx = _____

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Q: 2. (y + 1)dx + (4x – y)dy = 0

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Q: 1+vx dx use u= 1+ V 1- use Vx

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (1) Find the general solution for (+) dx + (--) dy = 0 %3D

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Q: Show that if you differentiate both sides of xy +4x + 2y = 1, the re- sult is (x + 2) + y +4 = 0.…

A: we have to show that the differentiation of xy+4x+2y=1 will result in (x+2)dydx+y+4=0 and then we…

Q: Evaluate the exact value of the multiple integral. 3z (2y 24 sin(2x) dx dy dz -y

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Q: (5x )cos( - Jax + S, (5x – 15)cos( 1.5 a 1.5 1.5 dx

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Q: How would I do this question?

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Q: dy dy = xy + 3x – 3x dx dx

A: The given differential equation is: dydx-x2dydx=xy+3x-3x3Therefore:dydx=xy+3x1-x21-x2

Q: dy + y =0 dメ 0 2) dx?

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Q: 2. Integrate dy (a) Vy* +16 (b) |6x – x² dx

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Q: dy/dx = 2x3,    y(0) = 3 y =

A: Given Data:   Solve the differential equation,

Q: dy اذا كانت y = 3z2 + (sin(z وكان = *3ez؟ 4 : أحسب dx

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Q: 13. If y=(x 2+6)7​, find d 2y/dx 2. d 2y/dx 2=?

A: We have given y = x2+67 Differentiating with respect to x  dydx=ddxx2+67 dydx= 7x2+67-1 ddxx2+6…

Q: (ve* +y)dx+(2xye* +1)dy = 0

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Q: dy Differentiate implicitly to find dx 3 7. 2 x'y +4x = 3y +2 54 3 dy dx

A: Given; x5y4+4x32=3y73+2 To Find: dydx using implicit differentiation

Q: 2-dy dy. y2 dx 12 ナ /2

A: We have to solve the given equation. The given equation is 2-dydX=y2X2+yX+1    ......(1)

Q: (у3 — у?sinx — х)dx + (3хy2 + 2усosx)dy %3D 0

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Q: 4(3x+ y – 2)dx – (3x + y)dy = 0

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Q: The value of the integral 1 2 x²y° dy dx is: 2..3 1

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Q: what is dy / dx if y^2 = x

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Q: Solve using selaration of variables: xy^3 dx + ex^2 dy = 0.

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Q: I sin 2 dy dx (x² – y) dy dx 5. 6. x? – y² dy dx 8. L ellyt dx dy 7.

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Q: (2х + Зу — 5)dx + (3x — у — 2)dy — 0

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Q: Find dy/dx Find dy/dx y =x² sin°(2x²) x*y? = 1

A: To differentiate y=x2sin2(2x2), with respect to x, use the product rule,…